201157186560 has 704 divisors, whose sum is σ = 756398269440. Its totient is φ = 45080903680.

The previous prime is 201157186537. The next prime is 201157186567. The reversal of 201157186560 is 65681751102.

It is a tau number, because it is divible by the number of its divisors (704).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201157186567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 169466287 + ... + 169467473.

It is an arithmetic number, because the mean of its divisors is an integer number (1074429360).

Almost surely, 2^201157186560 is an apocalyptic number.

201157186560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201157186560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378199134720).

201157186560 is an abundant number, since it is smaller than the sum of its proper divisors (555241082880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201157186560 is a wasteful number, since it uses less digits than its factorization.

201157186560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 42.

The spelling of 201157186560 in words is "two hundred one billion, one hundred fifty-seven million, one hundred eighty-six thousand, five hundred sixty".